133431266448 has 60 divisors (see below), whose sum is σ = 377119515708. Its totient is φ = 44036716800.

The previous prime is 133431266447. The next prime is 133431266489. The reversal of 133431266448 is 844662134331.

133431266448 is a `hidden beast` number, since 1 + 3 + 343 + 1 + 266 + 4 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107093871504 + 26337394944 = 327252^2 + 162288^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (133431266447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4572615 + ... + 4601702.

Almost surely, 2^133431266448 is an apocalyptic number.

133431266448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133431266448 is an abundant number, since it is smaller than the sum of its proper divisors (243688249260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133431266448 is a wasteful number, since it uses less digits than its factorization.

133431266448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9174432 (or 9174423 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 133431266448 in words is "one hundred thirty-three billion, four hundred thirty-one million, two hundred sixty-six thousand, four hundred forty-eight".